Remark 3.14 
Let \(M \xrightarrow{} A\)  be a relative Rota-Baxter algebra and consider the adjoint bimodule \(M \xrightarrow{} A\)  (see Example REF ). Then it follows from the previous discussion that the vector space \(A\)  carries a bimodule structure over the associative algebra \(M_\mathrm {Tot}\) . This bimodule has considered first by Uchino [1]} and further studied in [2]}. The corresponding Hochschild cohomology groups are called the cohomology of the relative Rota-Baxter operator \(R\) .

